It looks like you are referencing a set of statements and reasons typically found in a geometric proof or some academic problem involving angles and congruence. Let's clarify the responses based on the statements and reasons you've provided:
a: Statement 3 has a mistake. It should say "∠BAD ≅ ∠CAD" instead of what was originally stated.
b: Reason 3 has a mistake. It should state "Definition of angle bisector," indicating that the angle bisector divides an angle into two congruent angles.
c: Reason 5 has a mistake. It should state "SSS Congruence Theorem," which asserts that if three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.
d: Statement 6 has a mistake. It should say "∠a ≅ ∠c" instead of the original statement, indicating that the angles in question are congruent.
These corrections ensure the geometric statements and their corresponding reasons are accurate and properly linked to the principles of geometry. If you need more elaboration or a different format, feel free to ask!